The parallel lines cuts the sides in equal proportion to give NP = 0.8
How can the length of NP be found?
The given diagram consists of a line parallel to one of the sides of the triangle.
According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:
NQ || PR
By triangle proportionality theorem;
[tex]\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR } [/tex]
Which gives;
[tex] \mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 } [/tex]
2×5 = 8 × NP
Learn more about the triangle proportionality theorem here:
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